Moiré, correlations, and collective phenomena

In moiré materials, geometry and interactions become tunable on the same energy scale. We study how flat topological bands generate fractional phases, magnetism, superconductivity, and collective modes—and how those states appear in transport, optics, and time-resolved probes.

Magnetic signatures of a candidate fractional topological insulator in twisted MoTe2. Figure from Physical Review X 16, 031009 (2026).

From flat bands to collective quantum matter

A long moiré period compresses kinetic energy and exposes the geometry of the electronic wavefunctions. We develop local and continuum descriptions of these flat bands, identify the topological obstructions that shape them, and ask how quantum geometry selects correlated ground states.

Close contact with experiment is central. Our work on fractional fillings and a candidate fractional topological insulator in twisted MoTe2 is an experimental collaboration with Xiaoyang Zhu’s group and collaborators, connecting theory to optical, magnetic, and time-resolved measurements.

Selected papers